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Finding the Third Proportional to 356,662,301 and 723,353,135

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Solution

The third proportional to 356,662,301 and 723,353,135 is: 1,467,045,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,662,301 : 723,353,135 = 723,353,135 : x
  2. Step 2: Convert to fraction form
    356,662,301/723,353,135 = 723,353,135/x
  3. Step 3: Cross multiply
    356,662,301x = 723,353,135 × 723,353,135
  4. Step 4: Simplify right side
    356,662,301x = 523,239,757,914,328,256
  5. Step 5: Solve for x
    x = 523,239,757,914,328,256/356,662,301
  6. Step 6: Final answer
    x = 1,467,045,315.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.